Math, asked by DevanshVerma1, 6 months ago

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Answered by ADARSHBrainly
19

{\large{\bf{\pink{꧁ .\: Given.꧂}}}}

  • Angles made by lines.
  • x°, 40°, 3x°, 4x

{\large{\bf{\pink{꧁ .\: To \:  \:  find .꧂}}}}

  • Value of x.

{\Large {\bf{\red{꧁ .\: Solution.꧂}}}}

Here the concept of question is regarding to lines and angles. We have given unknown angles and asked to find value of x given with unknown angles.

  • We know that complete angles made by one full rotation is 360°.

{ \bf{ \orange{ \bigstar{So, according  \: to \:  the \:  question:- }}}}

Value of x is ,

{\bf {\implies{x°+40°+3x° + 4x = 360°}}}

{\bf {\implies{8x + 40 \degree = 360 \degree}}}

{\bf {\implies{8x = 360 \degree - 40 \degree}}}

{\bf {\implies{8x = 320 \degree}}}

  \\ {\bf {\implies{x =  \frac{320}{8} }}}

{ \large{ \underline{ \boxed{\bf { \green{\implies{ x = 40  \degree}}}}}}}

So, value of x is 40°.

\documentclass{article} \begin{document} \begin{table}[h!] \begin{center} \caption{Your first table.} \label{tab:table1} \begin{tabular}{l|c|r} % <-- Alignments: 1st column left, 2nd middle and 3rd right, with vertical lines in between \textbf{Value 1} & \textbf{Value 2} & \textbf{Value 3}\\ $\alpha$ & $\beta$ & $\gamma$ \\ \hline 1 & 1110.1 & a\\ 2 & 10.1 & b\\ 3 & 23.113231 & c\\ \end{tabular} \end{center} \end{table} \end{document}

For more, Finding all angles :-

x° = 40°

3x° = 3 × 40° = 120°

4x° = 4 × 40° = 160°

VERIFICATION:-

=40° + 120° + 160° + 40° = 360°

=》360° = 360°

=》LHS = RHS

So, our answer 40° is correct answer.

Answered by Flaunt
26

\huge\bold{\gray{\sf{Answer:}}}

Explanation:

Given :

∠DOC=40°;∠AOB=4X;∠AOD=X and ∠BOC=3X

TO FIND :

Value of 'x'

From above figure:-

∠DOC=40°;∠AOB=4X;∠AOD=X and ∠BOC=3X

∠DOC+∠AOB+∠AOD+∠BOC=360°( one complete revolution of angle is 360°)

40°+4x+x+3x=360°

40°+8x=360°

8x=360°-40°

8x=320°

x =  \frac{320}{8}  = 40

\bold{\red{x=40°}}

Let's finding angle :

➠∠DOC=X=40°

➠∠AOB=4X=4×40=160°

➠∠DOC=40°

➠∠BOC=3X=3×40=120°

Now ,adding all

➠∠AOB+∠AOD+∠DOC+∠BOC

➠160°+40°+40°+120°

➠200°+160°=360°

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